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Question 2 (25 marks) A square wood platform of side-length L = 2.4 m rests on...
A square wood platform of side-length ? = 2.4 m rests on masonry walls. The deck of the platform is constructed of 4 cm thick planks supported on two beams which are 2.4 m long. The beams have a width of 100 mm and height of 150 mm and are supported at their ends by the walls. The structure is designed to support a uniformly distributed load, ?? (kN/m2), acting over the entire top surface of the platform. The tensile...
1.2 (20 Marks) A beam of rectangular cross section (width b and height h) supports a uniformly distributed load along its entire length L. The allowable stresses in bending and shear are all and Tallow, respectively. a) If the beam is simply supported, what is the span length Lo below which the shear stress governs the allowable load and above which the bending stress governs? b) If the beam is supported as a cantilever, what is the length Lo below...
A simply supported wood beam of rectangular cross section and span length 2 m carries a uniformly distributed load of intensity 9 = 1 kN/m as shown. Calculate the maximum bending stress and the maximum shear stress in the beam.
QUESTION 2 Beam ABCD is 8 m in length and is pin-supported at A and roller-supported at C as shown in Figure Q2. A counter-clockwise concentrated moment acts about the support A. A uniformly-distributed load acts on span BC and a vertical concentrated load acts at the free end D a) Determine the reactions at supports A and C. 4 marks) b) Obtain the shear force and the bending moment functions (in terms of x) for each segment along the...
A5.2 m long simply supported wood beam carries a uniformly distributed load of 12.9 kN/m, as shown in Figure A. The cross-sectional dimensions of the beam as shown in Figure Bare b = 195 mm, d = 485 mm. yy = 81 mm, and yx = 167 mm. Section 3-a is located at x = 1.4 m from B. (a) At section a-a, determine the magnitude of the shear stress in the beam at point H. (b) At section a-3,...
2 A simply supported beam of length L = 10 m carries both a uniformly distributed load w, of 10 kN/m and a non-uniformly distributed load with a maximum value of w2 =10 kN/m at its roller support, as shown in Figure Q2 (a). The beam is made from a I-section and the thickness for all the three rectangular members is of 10 mm. All other dimensions are illustrated in Figure 02 (b). Self-weight of the beam is neglected. 300...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine the bending moment and shear force at section C due to the loading as shown in the figure. 2. 3. There is a distributed live load (w#2.5kN/m) which can vary the location along the beam. Determine the location of the live loads which create the...
The simply-supported beam having I-beam cross-section as shown in figure is to carry a uniformly distributed load over its entire 1.2m length. Specify the maximum allowable load if the beam is made from malleable iron, ASTM A220, class 80002. The allowable tensile stress is 164 MPa and allowable compressive stress is 412 MPa. The centroid of the section is located at 35 mm from the bottom and moment of inertia are Ix = 2.66 x 10 mm". (a) Draw loading...
reinforced concrete design , ACI code Shear Strength of Flexural Members Design for shear forces The simply supported beam shown is subjected to ultimate (factored) distributed and concentrated loads 1. Determine the shear capacity of concrete at the critical section according to ACI318-14 detailed method in Table 22.5.5.1. Design the shear reinforcement and determine the locations on the beam shear force diagram where this shear reinforcement should be placed. 2. 3. Determine the locations within the beam where minimum shear...
A wood beam (1) is reinforced on its lower surface by a steel plate (2) as shown in the figure. Dimensions of the cross section are b 1 = 220 mm , d = 385 mm , b 2 = 190 mm , and t = 25 mm . The elastic moduli of the wood and steel are E 1 = 12.5 GPa and E 2 = 200 GPa , respectively. The allowable bending stresses of the wood and steel...